Home
Class 12
MATHS
Let f(x)= 4x^(2) - 4ax + a^(2) - 2a + 2 ...

Let `f(x)= 4x^(2) - 4ax + a^(2) - 2a + 2` such that minimum value fo the `f(x)` for `x in [0,2]` is equal to 3.
Number of values of a for which global minimum value, that is equal to 3 for `x in [0,2]`, occurs for the value of x lying in (0,2) is

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Let f(x) = 4x^(2)-4ax+a^(2)-2a+2 and the golbal minimum value of f(x) for x in [0,2] is equal to 3 The number of values of a for which the global minimum value equal to 3 for x in [0,2] occurs at the endpoint of interval[0,2] is

Let f(x)=2 cosec 2x + sec x+cosec x , then the minimum value of f(x) for x in (0,pi/2) is

The minimum value of f(x)=|x-1|+|x-2|+|x-3| is equal to

The minimum value of f(x)= "sin"x, [(-pi)/(2),(pi)/(2)] is

Minimum value of of f (x)=2x^(2)-4x+5is

The minimum value of the fuction f(x)=2|x-2|+5|x-3| for all x in R , is

The minimum value of (x^(2)+2x+4)/(x+2) , is

The minimum value of f(x)=e^((x^4-x^3+x^2)) is

Minimum value of 4x^2-4x|sin theta|-cos^2 theta is equal

Find the minimum value of f(x)=|x+2|+|x-2|+|x|.

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. The logically equivalent proposition of phArrq is a. (p^^q)vv(p^^q) b....

    Text Solution

    |

  2. If in triangle A B C ,A-=(1,10), circumcentre -=(-1/3,2/3) and orthoce...

    Text Solution

    |

  3. Let f(x)= 4x^(2) - 4ax + a^(2) - 2a + 2 such that minimum value fo the...

    Text Solution

    |

  4. Which of the following determinants(s) vanish(es)? |4 1 2 10 2 5 3 4 3...

    Text Solution

    |

  5. If vec a , vec ba n d vec c are non-coplanar vectors, prove that the ...

    Text Solution

    |

  6. If a, b, c are positive and unequal, show that value of the determina...

    Text Solution

    |

  7. Set of all values of x satisfying in inequation cos^(-1)sqrt(x)>sin^(-...

    Text Solution

    |

  8. If y=ax^(2)+bx+c represents the curve given in the figure and b^(2)=2(...

    Text Solution

    |

  9. Which of the following function(s) defined below are continuous at the...

    Text Solution

    |

  10. Given two circle x^2+y^2-6x-2y+5=0&x^2+y^2+6x+22 y+5=0 . The tangent a...

    Text Solution

    |

  11. Find the domain of the following function: f(x)=1/([|x-1|]+[|12-x|]-11...

    Text Solution

    |

  12. The sides of a rhombus are parallel to y=2x+3a n d2y=x+5 . The diagona...

    Text Solution

    |

  13. If the lines joining the points of intersection of the curve 4x^2+9y+1...

    Text Solution

    |

  14. If |1 1 1a b c a^3b^2c^3|=(a-b)(b-c)(c-a)(a+b+c),w h e r ea ,b ,c are ...

    Text Solution

    |

  15. The equation of the circle of radius 5 in the first quadrant which ...

    Text Solution

    |

  16. If P=cospi/(20)dotcos(3pi)/(20)dotcos(7pi)/(20)dotcos(9pi)/(20)&Q=cosp...

    Text Solution

    |

  17. If (a,a^(2)) falls inside the angle made by the linear equations y=x/2...

    Text Solution

    |

  18. (2sec theta+3 tan theta+5 sin theta -7cos theta+5)/(2tan theta+3 sec t...

    Text Solution

    |

  19. If A and B are symmetric matrices, prove that AB BA is a skew symm...

    Text Solution

    |

  20. If a, b c are real numbers satisfying the condition a+b+c=0 then the r...

    Text Solution

    |